100011222101 has 8 divisors (see below), whose sum is σ = 116631163200. Its totient is φ = 85723904364.

The previous prime is 100011222079. The next prime is 100011222107. The reversal of 100011222101 is 101222110001.

It is not a de Polignac number, because 100011222101 - 2¹⁰ = 100011221077 is a prime.

It is a super-2 number, since 2×100011222101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011222107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145788611 + ... + 145789296.

It is an arithmetic number, because the mean of its divisors is an integer number (14578895400).

Almost surely, 2^100011222101 is an apocalyptic number.

It is an amenable number.

100011222101 is a deficient number, since it is larger than the sum of its proper divisors (16619941099).

100011222101 is an frugal number, since it uses more digits than its factorization.

100011222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291577928 (or 291577914 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100011222101 its reverse (101222110001), we get a palindrome (201233332102).

The spelling of 100011222101 in words is "one hundred billion, eleven million, two hundred twenty-two thousand, one hundred one".